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Finding the Fourth Proportional to 4,703.35, 7,055.08 and 1,928.09

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Solution

The fourth proportional to 4,703.35, 7,055.08 and 1,928.09 is: 2,892.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,703.35 : 7,055.08 = 1,928.09 : x
  2. Step 2: Convert to fraction form
    4,703.35/7,055.08 = 1,928.09/x
  3. Step 3: Cross multiply
    4,703.35x = 7,055.08 × 1,928.09
  4. Step 4: Simplify right side
    4,703.35x = 13,602,829.20
  5. Step 5: Solve for x
    x = 13,602,829.20/4,703.35
  6. Step 6: Final answer
    x = 2,892.16

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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.