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Finding the Fourth Proportional to 5,213.34, 7,779.47 and 5,088.24

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Solution

The fourth proportional to 5,213.34, 7,779.47 and 5,088.24 is: 7,592.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.34 : 7,779.47 = 5,088.24 : x
  2. Step 2: Convert to fraction form
    5,213.34/7,779.47 = 5,088.24/x
  3. Step 3: Cross multiply
    5,213.34x = 7,779.47 × 5,088.24
  4. Step 4: Simplify right side
    5,213.34x = 39,583,784.99
  5. Step 5: Solve for x
    x = 39,583,784.99/5,213.34
  6. Step 6: Final answer
    x = 7,592.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.