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Finding the Fourth Proportional to 3,498.36, 4,822.02 and 2,437.68

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Solution

The fourth proportional to 3,498.36, 4,822.02 and 2,437.68 is: 3,360.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.36 : 4,822.02 = 2,437.68 : x
  2. Step 2: Convert to fraction form
    3,498.36/4,822.02 = 2,437.68/x
  3. Step 3: Cross multiply
    3,498.36x = 4,822.02 × 2,437.68
  4. Step 4: Simplify right side
    3,498.36x = 11,754,541.71
  5. Step 5: Solve for x
    x = 11,754,541.71/3,498.36
  6. Step 6: Final answer
    x = 3,360.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.