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Finding the Fourth Proportional to 5,307.35, 7,914.69 and 4,652.26

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Solution

The fourth proportional to 5,307.35, 7,914.69 and 4,652.26 is: 6,937.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.35 : 7,914.69 = 4,652.26 : x
  2. Step 2: Convert to fraction form
    5,307.35/7,914.69 = 4,652.26/x
  3. Step 3: Cross multiply
    5,307.35x = 7,914.69 × 4,652.26
  4. Step 4: Simplify right side
    5,307.35x = 36,821,132.86
  5. Step 5: Solve for x
    x = 36,821,132.86/5,307.35
  6. Step 6: Final answer
    x = 6,937.77

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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.