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Finding the Fourth Proportional to 4,106.04, 6,155.16 and 1,507

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Solution

The fourth proportional to 4,106.04, 6,155.16 and 1,507 is: 2,259.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,106.04 : 6,155.16 = 1,507 : x
  2. Step 2: Convert to fraction form
    4,106.04/6,155.16 = 1,507/x
  3. Step 3: Cross multiply
    4,106.04x = 6,155.16 × 1,507
  4. Step 4: Simplify right side
    4,106.04x = 9,275,826.12
  5. Step 5: Solve for x
    x = 9,275,826.12/4,106.04
  6. Step 6: Final answer
    x = 2,259.07

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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.