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Finding the Fourth Proportional to 4,703.32, 7,055.04 and 1,893.48

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Solution

The fourth proportional to 4,703.32, 7,055.04 and 1,893.48 is: 2,840.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,703.32 : 7,055.04 = 1,893.48 : x
  2. Step 2: Convert to fraction form
    4,703.32/7,055.04 = 1,893.48/x
  3. Step 3: Cross multiply
    4,703.32x = 7,055.04 × 1,893.48
  4. Step 4: Simplify right side
    4,703.32x = 13,358,577.14
  5. Step 5: Solve for x
    x = 13,358,577.14/4,703.32
  6. Step 6: Final answer
    x = 2,840.24

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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.