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Finding the Fourth Proportional to 5,585.84, 7,702.92 and 4,404.56

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Solution

The fourth proportional to 5,585.84, 7,702.92 and 4,404.56 is: 6,073.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,585.84 : 7,702.92 = 4,404.56 : x
  2. Step 2: Convert to fraction form
    5,585.84/7,702.92 = 4,404.56/x
  3. Step 3: Cross multiply
    5,585.84x = 7,702.92 × 4,404.56
  4. Step 4: Simplify right side
    5,585.84x = 33,927,973.32
  5. Step 5: Solve for x
    x = 33,927,973.32/5,585.84
  6. Step 6: Final answer
    x = 6,073.93

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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.