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Finding the Fourth Proportional to 3,462.54, 4,777.08 and 2,045.93

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Solution

The fourth proportional to 3,462.54, 4,777.08 and 2,045.93 is: 2,822.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.54 : 4,777.08 = 2,045.93 : x
  2. Step 2: Convert to fraction form
    3,462.54/4,777.08 = 2,045.93/x
  3. Step 3: Cross multiply
    3,462.54x = 4,777.08 × 2,045.93
  4. Step 4: Simplify right side
    3,462.54x = 9,773,547.40
  5. Step 5: Solve for x
    x = 9,773,547.40/3,462.54
  6. Step 6: Final answer
    x = 2,822.65

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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.