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Finding the Fourth Proportional to 5,714.76, 7,894.35 and 5,415.51

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Solution

The fourth proportional to 5,714.76, 7,894.35 and 5,415.51 is: 7,480.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.76 : 7,894.35 = 5,415.51 : x
  2. Step 2: Convert to fraction form
    5,714.76/7,894.35 = 5,415.51/x
  3. Step 3: Cross multiply
    5,714.76x = 7,894.35 × 5,415.51
  4. Step 4: Simplify right side
    5,714.76x = 42,751,931.37
  5. Step 5: Solve for x
    x = 42,751,931.37/5,714.76
  6. Step 6: Final answer
    x = 7,480.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.