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Finding the Fourth Proportional to 5,065.60, 7,595.10 and 4,547.20

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Solution

The fourth proportional to 5,065.60, 7,595.10 and 4,547.20 is: 6,817.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,065.60 : 7,595.10 = 4,547.20 : x
  2. Step 2: Convert to fraction form
    5,065.60/7,595.10 = 4,547.20/x
  3. Step 3: Cross multiply
    5,065.60x = 7,595.10 × 4,547.20
  4. Step 4: Simplify right side
    5,065.60x = 34,536,438.72
  5. Step 5: Solve for x
    x = 34,536,438.72/5,065.60
  6. Step 6: Final answer
    x = 6,817.84

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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.