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Finding the Fourth Proportional to 6,526.10, 9,780.41 and 3,565.89

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Solution

The fourth proportional to 6,526.10, 9,780.41 and 3,565.89 is: 5,344.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,526.10 : 9,780.41 = 3,565.89 : x
  2. Step 2: Convert to fraction form
    6,526.10/9,780.41 = 3,565.89/x
  3. Step 3: Cross multiply
    6,526.10x = 9,780.41 × 3,565.89
  4. Step 4: Simplify right side
    6,526.10x = 34,875,875.13
  5. Step 5: Solve for x
    x = 34,875,875.13/6,526.10
  6. Step 6: Final answer
    x = 5,344.06

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