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Finding the Fourth Proportional to 5,031.48, 7,547.22 and 1,569

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Solution

The fourth proportional to 5,031.48, 7,547.22 and 1,569 is: 2,353.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,031.48 : 7,547.22 = 1,569 : x
  2. Step 2: Convert to fraction form
    5,031.48/7,547.22 = 1,569/x
  3. Step 3: Cross multiply
    5,031.48x = 7,547.22 × 1,569
  4. Step 4: Simplify right side
    5,031.48x = 11,841,588.18
  5. Step 5: Solve for x
    x = 11,841,588.18/5,031.48
  6. Step 6: Final answer
    x = 2,353.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.