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Finding the Fourth Proportional to 3,530.51, 4,872.04 and 2,038.42

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Solution

The fourth proportional to 3,530.51, 4,872.04 and 2,038.42 is: 2,812.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530.51 : 4,872.04 = 2,038.42 : x
  2. Step 2: Convert to fraction form
    3,530.51/4,872.04 = 2,038.42/x
  3. Step 3: Cross multiply
    3,530.51x = 4,872.04 × 2,038.42
  4. Step 4: Simplify right side
    3,530.51x = 9,931,263.78
  5. Step 5: Solve for x
    x = 9,931,263.78/3,530.51
  6. Step 6: Final answer
    x = 2,812.98

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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.