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Finding the Fourth Proportional to 5,465.04, 8,197.50 and 1,569.45

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Solution

The fourth proportional to 5,465.04, 8,197.50 and 1,569.45 is: 2,354.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,465.04 : 8,197.50 = 1,569.45 : x
  2. Step 2: Convert to fraction form
    5,465.04/8,197.50 = 1,569.45/x
  3. Step 3: Cross multiply
    5,465.04x = 8,197.50 × 1,569.45
  4. Step 4: Simplify right side
    5,465.04x = 12,865,566.38
  5. Step 5: Solve for x
    x = 12,865,566.38/5,465.04
  6. Step 6: Final answer
    x = 2,354.16

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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.