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Finding the Fourth Proportional to 5,492.63, 7,577.40 and 4,317.12

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Solution

The fourth proportional to 5,492.63, 7,577.40 and 4,317.12 is: 5,955.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.63 : 7,577.40 = 4,317.12 : x
  2. Step 2: Convert to fraction form
    5,492.63/7,577.40 = 4,317.12/x
  3. Step 3: Cross multiply
    5,492.63x = 7,577.40 × 4,317.12
  4. Step 4: Simplify right side
    5,492.63x = 32,712,545.09
  5. Step 5: Solve for x
    x = 32,712,545.09/5,492.63
  6. Step 6: Final answer
    x = 5,955.71

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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.