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Finding the Fourth Proportional to 3,133.48, 4,700.10 and 1,054.76

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Solution

The fourth proportional to 3,133.48, 4,700.10 and 1,054.76 is: 1,582.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.48 : 4,700.10 = 1,054.76 : x
  2. Step 2: Convert to fraction form
    3,133.48/4,700.10 = 1,054.76/x
  3. Step 3: Cross multiply
    3,133.48x = 4,700.10 × 1,054.76
  4. Step 4: Simplify right side
    3,133.48x = 4,957,477.48
  5. Step 5: Solve for x
    x = 4,957,477.48/3,133.48
  6. Step 6: Final answer
    x = 1,582.10

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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.