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Finding the Fourth Proportional to 6,582.71, 9,084.76 and 3,598.98

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Solution

The fourth proportional to 6,582.71, 9,084.76 and 3,598.98 is: 4,966.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,582.71 : 9,084.76 = 3,598.98 : x
  2. Step 2: Convert to fraction form
    6,582.71/9,084.76 = 3,598.98/x
  3. Step 3: Cross multiply
    6,582.71x = 9,084.76 × 3,598.98
  4. Step 4: Simplify right side
    6,582.71x = 32,695,851.55
  5. Step 5: Solve for x
    x = 32,695,851.55/6,582.71
  6. Step 6: Final answer
    x = 4,966.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.