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Finding the Fourth Proportional to 6,526.55, 9,006.65 and 3,542.39

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Solution

The fourth proportional to 6,526.55, 9,006.65 and 3,542.39 is: 4,888.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,526.55 : 9,006.65 = 3,542.39 : x
  2. Step 2: Convert to fraction form
    6,526.55/9,006.65 = 3,542.39/x
  3. Step 3: Cross multiply
    6,526.55x = 9,006.65 × 3,542.39
  4. Step 4: Simplify right side
    6,526.55x = 31,905,068.92
  5. Step 5: Solve for x
    x = 31,905,068.92/6,526.55
  6. Step 6: Final answer
    x = 4,888.50

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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.