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Finding the Fourth Proportional to 4,526.47, 6,788.04 and 1,564.17

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Solution

The fourth proportional to 4,526.47, 6,788.04 and 1,564.17 is: 2,345.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,526.47 : 6,788.04 = 1,564.17 : x
  2. Step 2: Convert to fraction form
    4,526.47/6,788.04 = 1,564.17/x
  3. Step 3: Cross multiply
    4,526.47x = 6,788.04 × 1,564.17
  4. Step 4: Simplify right side
    4,526.47x = 10,617,648.53
  5. Step 5: Solve for x
    x = 10,617,648.53/4,526.47
  6. Step 6: Final answer
    x = 2,345.68

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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.