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Finding the Fourth Proportional to 3,904.04, 5,855.16 and 1,130.10

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Solution

The fourth proportional to 3,904.04, 5,855.16 and 1,130.10 is: 1,694.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,904.04 : 5,855.16 = 1,130.10 : x
  2. Step 2: Convert to fraction form
    3,904.04/5,855.16 = 1,130.10/x
  3. Step 3: Cross multiply
    3,904.04x = 5,855.16 × 1,130.10
  4. Step 4: Simplify right side
    3,904.04x = 6,616,916.32
  5. Step 5: Solve for x
    x = 6,616,916.32/3,904.04
  6. Step 6: Final answer
    x = 1,694.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.