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Finding the Fourth Proportional to 3,153.47, 4,730.20 and 1,420.07

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Solution

The fourth proportional to 3,153.47, 4,730.20 and 1,420.07 is: 2,130.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.47 : 4,730.20 = 1,420.07 : x
  2. Step 2: Convert to fraction form
    3,153.47/4,730.20 = 1,420.07/x
  3. Step 3: Cross multiply
    3,153.47x = 4,730.20 × 1,420.07
  4. Step 4: Simplify right side
    3,153.47x = 6,717,187.91
  5. Step 5: Solve for x
    x = 6,717,187.91/3,153.47
  6. Step 6: Final answer
    x = 2,130.10

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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.