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Finding the Fourth Proportional to 4,703.60, 7,053.06 and 2,106.20

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Solution

The fourth proportional to 4,703.60, 7,053.06 and 2,106.20 is: 3,158.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,703.60 : 7,053.06 = 2,106.20 : x
  2. Step 2: Convert to fraction form
    4,703.60/7,053.06 = 2,106.20/x
  3. Step 3: Cross multiply
    4,703.60x = 7,053.06 × 2,106.20
  4. Step 4: Simplify right side
    4,703.60x = 14,855,154.97
  5. Step 5: Solve for x
    x = 14,855,154.97/4,703.60
  6. Step 6: Final answer
    x = 3,158.25

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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.