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Finding the Fourth Proportional to 5,133.18, 7,700 and 1,575.04

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Solution

The fourth proportional to 5,133.18, 7,700 and 1,575.04 is: 2,362.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,133.18 : 7,700 = 1,575.04 : x
  2. Step 2: Convert to fraction form
    5,133.18/7,700 = 1,575.04/x
  3. Step 3: Cross multiply
    5,133.18x = 7,700 × 1,575.04
  4. Step 4: Simplify right side
    5,133.18x = 12,127,808
  5. Step 5: Solve for x
    x = 12,127,808/5,133.18
  6. Step 6: Final answer
    x = 2,362.63

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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.