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Finding the Fourth Proportional to 4,698.51, 7,047.90 and 2,101.65

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Solution

The fourth proportional to 4,698.51, 7,047.90 and 2,101.65 is: 3,152.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,698.51 : 7,047.90 = 2,101.65 : x
  2. Step 2: Convert to fraction form
    4,698.51/7,047.90 = 2,101.65/x
  3. Step 3: Cross multiply
    4,698.51x = 7,047.90 × 2,101.65
  4. Step 4: Simplify right side
    4,698.51x = 14,812,219.04
  5. Step 5: Solve for x
    x = 14,812,219.04/4,698.51
  6. Step 6: Final answer
    x = 3,152.54

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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.