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Finding the Fourth Proportional to 4,208.57, 6,312.85 and 1,130.57

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Solution

The fourth proportional to 4,208.57, 6,312.85 and 1,130.57 is: 1,695.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,208.57 : 6,312.85 = 1,130.57 : x
  2. Step 2: Convert to fraction form
    4,208.57/6,312.85 = 1,130.57/x
  3. Step 3: Cross multiply
    4,208.57x = 6,312.85 × 1,130.57
  4. Step 4: Simplify right side
    4,208.57x = 7,137,081.61
  5. Step 5: Solve for x
    x = 7,137,081.61/4,208.57
  6. Step 6: Final answer
    x = 1,695.85

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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.