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Finding the Fourth Proportional to 5,663.59, 8,492.02 and 1,713.65

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Solution

The fourth proportional to 5,663.59, 8,492.02 and 1,713.65 is: 2,569.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.59 : 8,492.02 = 1,713.65 : x
  2. Step 2: Convert to fraction form
    5,663.59/8,492.02 = 1,713.65/x
  3. Step 3: Cross multiply
    5,663.59x = 8,492.02 × 1,713.65
  4. Step 4: Simplify right side
    5,663.59x = 14,552,303.33
  5. Step 5: Solve for x
    x = 14,552,303.33/5,663.59
  6. Step 6: Final answer
    x = 2,569.45

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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.