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Finding the Fourth Proportional to 5,284.64, 7,292.08 and 3,046

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Solution

The fourth proportional to 5,284.64, 7,292.08 and 3,046 is: 4,203.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,284.64 : 7,292.08 = 3,046 : x
  2. Step 2: Convert to fraction form
    5,284.64/7,292.08 = 3,046/x
  3. Step 3: Cross multiply
    5,284.64x = 7,292.08 × 3,046
  4. Step 4: Simplify right side
    5,284.64x = 22,211,675.68
  5. Step 5: Solve for x
    x = 22,211,675.68/5,284.64
  6. Step 6: Final answer
    x = 4,203.06

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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.