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Finding the Fourth Proportional to 5,702.08, 7,868.64 and 3,184.16

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Solution

The fourth proportional to 5,702.08, 7,868.64 and 3,184.16 is: 4,394.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.08 : 7,868.64 = 3,184.16 : x
  2. Step 2: Convert to fraction form
    5,702.08/7,868.64 = 3,184.16/x
  3. Step 3: Cross multiply
    5,702.08x = 7,868.64 × 3,184.16
  4. Step 4: Simplify right side
    5,702.08x = 25,055,008.74
  5. Step 5: Solve for x
    x = 25,055,008.74/5,702.08
  6. Step 6: Final answer
    x = 4,394.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.