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Finding the Fourth Proportional to 4,703.42, 7,051.58 and 2,854.10

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Solution

The fourth proportional to 4,703.42, 7,051.58 and 2,854.10 is: 4,279.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,703.42 : 7,051.58 = 2,854.10 : x
  2. Step 2: Convert to fraction form
    4,703.42/7,051.58 = 2,854.10/x
  3. Step 3: Cross multiply
    4,703.42x = 7,051.58 × 2,854.10
  4. Step 4: Simplify right side
    4,703.42x = 20,125,914.48
  5. Step 5: Solve for x
    x = 20,125,914.48/4,703.42
  6. Step 6: Final answer
    x = 4,279.00

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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.