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Finding the Fourth Proportional to 4,435.96, 6,655.47 and 1,972.51

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Solution

The fourth proportional to 4,435.96, 6,655.47 and 1,972.51 is: 2,959.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,435.96 : 6,655.47 = 1,972.51 : x
  2. Step 2: Convert to fraction form
    4,435.96/6,655.47 = 1,972.51/x
  3. Step 3: Cross multiply
    4,435.96x = 6,655.47 × 1,972.51
  4. Step 4: Simplify right side
    4,435.96x = 13,127,981.13
  5. Step 5: Solve for x
    x = 13,127,981.13/4,435.96
  6. Step 6: Final answer
    x = 2,959.45

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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.