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Finding the Fourth Proportional to 4,870.33, 7,305.19 and 1,407.58

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Solution

The fourth proportional to 4,870.33, 7,305.19 and 1,407.58 is: 2,111.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,870.33 : 7,305.19 = 1,407.58 : x
  2. Step 2: Convert to fraction form
    4,870.33/7,305.19 = 1,407.58/x
  3. Step 3: Cross multiply
    4,870.33x = 7,305.19 × 1,407.58
  4. Step 4: Simplify right side
    4,870.33x = 10,282,617.56
  5. Step 5: Solve for x
    x = 10,282,617.56/4,870.33
  6. Step 6: Final answer
    x = 2,111.28

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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.